Calculate the Product: 5^5 × 6^5 Power Multiplication

Choose the expression that corresponds to the following:

$5^5\times6^5=$

We are given the expression $5^5 \times 6^5$.
According to the power of a product rule, $(a \times b)^n = a^n \times b^n$. Therefore, we can rewrite the expression as $(5 \times 6)^5$ or $(6 \times 5)^5$.

Both expressions $(5 \times 6)^5$ and $(6 \times 5)^5$ are mathematically equivalent. Therefore, the solution to the problem is that answers (a) and (b) are correct.